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Finding the Fourth Proportional to 6,441.43, 8,889.16 and 3,788.84

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Solution

The fourth proportional to 6,441.43, 8,889.16 and 3,788.84 is: 5,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.43 : 8,889.16 = 3,788.84 : x
  2. Step 2: Convert to fraction form
    6,441.43/8,889.16 = 3,788.84/x
  3. Step 3: Cross multiply
    6,441.43x = 8,889.16 × 3,788.84
  4. Step 4: Simplify right side
    6,441.43x = 33,679,604.97
  5. Step 5: Solve for x
    x = 33,679,604.97/6,441.43
  6. Step 6: Final answer
    x = 5,228.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.